We present a computerize battery constructed to evaluate behavioral performances for language, declarative memory, executive functions and social cognition abilities. This battery was created to evaluate cognitive outcomes in adults who underwent hemispherotomy as a clinical treatment of Rasmussen Encephalitis (RE) in their childhood and have been tested in a group of healthy participants (n= 88). LEXTOMM battery can be used for cognitive assessment of any type of population and allow the collection of behavioral performances in terms of accuracy and reaction times. LEXTOMM battery is composed of six language tasks allowing to assess six different linguistic abilities such as lexical storage, semantics, phonology, syntax, prosody perception and production. Different input modalities are proposed for these tasks (picture, written and auditory modality). A specific task allowing the assessment of the language generation and declarative memory interaction is also proposed. The battery also included a visual control categorization task is proposed in order to assess decision-making baseline. Moreover, LEXTOMM also includes four tasks allowing the assessment of the executive functions. More specifically we included tasks allowing the evaluation of four executive processes: updating in working memory, switching/flexibility, sustained attention and inhibition. Finally, the battery includes a theory of mind abilities task. All tasks were developed using the E-Prime 3.0 software (E-Prime Psychology Software Tools Inc., Pittsburgh, USA), running on a PC. Before each task, a training session is included, with several stimuli that differ from those presented during the experiment. This training allows participants to understand the instructions and get familiarized with each task. Hereafter, we describe the procedures and tasks included in LEXTOMM, in the following order: low-level visual categorization, language, language in interaction with declarative memory, executive functions and social cognition/theory of mind.